Combinatorics and Graph Theory

Automorphismgroups of Maps, Surfaces and Smarandache Geometries

Automorphism groups survey similarities on mathematical systems, which appear nearly
in all mathematical branches, such as those of algebra, combinatorics, geometry, ... and
theoretical physics, theoretical chemistry, etc. In geometry, configurations with high
symmetry born symmetrical patterns, a kind of beautiful pictures in aesthetics. Naturally,
automorphism groups enable one to distinguish systems by similarity. More automorphisms
imply more symmetries of that system. This fact has established the fundamental
role of automorphism groups in modern sciences. So it is important for graduate students
knowing automorphism groups with applications.

Submission history

Add your own feedback and questions here:You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.